Home Page of Louis Yang Liu
Louis Yang Liu PhD student Department
of Mathematics at the University of Georgia Office:
649 Boyd Graduate Studies Center Phone:
706-542-5961 Email:
yliu [at] math [dot] uga [dot] edu
○
TEACHING
● Office hour for Jason’s MATH 4220/6220 Differential Topology Fall 2007
W
3:30-4:30PM Th 2:00-3:00PM
Remark: Office hour on Aug 30: 2:30-3:30PM
● Some
Proof for Jordan-Brouwer Separation Theorem
● TA for MATH 8200 Algebraic Topology
● A
Remark on the Application of Van Kampen's Theorem
● TA for MATH 2200 Fall 2008
○ RESEARCH
My advisor: Dr. J. H. G. Fu
Interests:
Integral/Convex Geometry, Riemann-Finsler Geometry, Applied Math in Biology, Discrete Geometry, Knot Theory
● Crofton Measures for Holmes-Thompson Volume in Minkowski Space
● Tangent Bundle of Unit Sphere in Minkowski Space and Symplectic Structure
●
Geodesic Flow and
Energy Functional on Riemannian Manifold
● Symplectic Structure on the Space of Affine Lines(II)
● Symplectic Structure on the Space of Affine Lines(I)
● Integral Geometry on Minkowski p-Space
● Symmetry Types of Links with Two Components
● The Symmetry Group of
Composite Link
○ SCHEDULE